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Finding the Fourth Proportional to 8,384.57, 12,578.06 and 2,541.63

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Solution

The fourth proportional to 8,384.57, 12,578.06 and 2,541.63 is: 3,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.57 : 12,578.06 = 2,541.63 : x
  2. Step 2: Convert to fraction form
    8,384.57/12,578.06 = 2,541.63/x
  3. Step 3: Cross multiply
    8,384.57x = 12,578.06 × 2,541.63
  4. Step 4: Simplify right side
    8,384.57x = 31,968,761.93
  5. Step 5: Solve for x
    x = 31,968,761.93/8,384.57
  6. Step 6: Final answer
    x = 3,812.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.